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132306450 = 23523137769
BaseRepresentation
bin1111110001011…
…01011000010010
3100012221212022220
413320231120102
5232332301300
621043441510
73164405043
oct770553022
9305855286
10132306450
1168757881
1238386296
1321545553
14138008ca
15b936da0
hex7e2d612

132306450 has 96 divisors (see below), whose sum is σ = 348311040. Its totient is φ = 33177600.

The previous prime is 132306437. The next prime is 132306451. The reversal of 132306450 is 54603231.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 132306450.

It is not an unprimeable number, because it can be changed into a prime (132306451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171666 + ... + 172434.

It is an arithmetic number, because the mean of its divisors is an integer number (3628240).

Almost surely, 2132306450 is an apocalyptic number.

132306450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132306450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174155520).

132306450 is an abundant number, since it is smaller than the sum of its proper divisors (216004590).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132306450 is a wasteful number, since it uses less digits than its factorization.

132306450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 132306450 is about 11502.4540859766. The cubic root of 132306450 is about 509.5580562033.

Adding to 132306450 its reverse (54603231), we get a palindrome (186909681).

The spelling of 132306450 in words is "one hundred thirty-two million, three hundred six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 37 50 62 74 75 93 111 150 155 185 186 222 310 370 465 555 769 775 925 930 1110 1147 1538 1550 1850 2294 2307 2325 2775 3441 3845 4614 4650 5550 5735 6882 7690 11470 11535 17205 19225 23070 23839 28453 28675 34410 38450 47678 56906 57350 57675 71517 85359 86025 115350 119195 142265 143034 170718 172050 238390 284530 357585 426795 595975 711325 715170 853590 882043 1191950 1422650 1764086 1787925 2133975 2646129 3575850 4267950 4410215 5292258 8820430 13230645 22051075 26461290 44102150 66153225 132306450